13559374402200 has 288 divisors, whose sum is σ = 49696290774000. Its totient is φ = 3285819264000.

The previous prime is 13559374402159. The next prime is 13559374402241. The reversal of 13559374402200 is 220447395531.

It is a happy number.

13559374402200 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 9 + 37 + 4 + 402 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13559374402159) and next prime (13559374402241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50335870 + ... + 50604530.

Almost surely, 2^{13559374402200} is an apocalyptic number.

13559374402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13559374402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848145387000).

13559374402200 is an abundant number, since it is smaller than the sum of its proper divisors (36136916371800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13559374402200 is a wasteful number, since it uses less digits than its factorization.

13559374402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271243 (or 271231 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13559374402200 in words is "thirteen trillion, five hundred fifty-nine billion, three hundred seventy-four million, four hundred two thousand, two hundred".